In Young's double slit experiment, using monochromatic light of wavelength λ , the intensity of light at a point on the screen where the path difference is λ , is K units. The intensity of light

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In Young's double slit experiment, using monochromatic light of wavelength λ , the intensity of light at a point on the screen where the path difference is λ , is K units. The intensity of light at a point where the path difference is 3 λ ​ will be :NEET 2026 (Cancelled)

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Phase difference ϕ is related to path difference Δ x by ϕ = λ 2 π ​ Δ x . The intensity I at a point on the screen is given by I = I ma x ​ cos 2 ( 2 ϕ ​ ) . For Δ x = λ , ϕ = λ 2 π ​ × λ = 2 π . Intensity I = I ma x ​ cos 2 ( π ) = I ma x ​ = K . For Δ x = 3 λ ​ , ϕ = λ 2 π ​ × 3 λ ​ = 3 2 π ​ . Intensity I ′ = I ma x ​ cos 2 ( 3 π ​ ) = K ( 2 1 ​ ) 2 = 4 K ​ . Answer: 4 K ​

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